Mathematical modeling and optimal control of customer's behavior toward e-commerce

Iranian Journal of Numerical Analysis and Optimization

مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 13 مرداد 1403

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.2024.88052.1448

نویسندگان

Habib Hassouni^* ؛ Salaheddine Belhdid؛ Omar Balatif

Laboratory of Fundamental Mathematics and their Applications, Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, Morocco.

چکیده

The extensive influence of digital platforms has reshaped societal interactions and daily routines, integrating e-commerce into every aspect of modern life. This evolution not only redefines traditional business models but also fosters global connectivity and economic restructuring. However, despite its critical role in the global economy, e-commerce faces challenges, notably the hesitation of some consumers due to concerns about security and trust. To address this, we propose a novel mathematical model, to examine customer behavior dynamics toward e-commerce, particularly the impact of the refusal behavior. Our study comprehensively examines the characteristics of our mathematical model, conducts a thorough stability analysis, and investigates the parameters sensitivity. Furthermore, control theory has been adopted to optimize the e-commerce adoption using Pontryagin's maximum principle, with numerical simulations to evaluate the effectiveness of our proposed strategies.

کلیدواژه‌ها

Mathematical modeling؛ Stability analysis؛ E-commerce؛ Pontryagin maximum principle؛ Sensitivity analysis